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Finding the Fourth Proportional to 1,459.70, 2,189.54 and 364.06

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Solution

The fourth proportional to 1,459.70, 2,189.54 and 364.06 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.70 : 2,189.54 = 364.06 : x
  2. Step 2: Convert to fraction form
    1,459.70/2,189.54 = 364.06/x
  3. Step 3: Cross multiply
    1,459.70x = 2,189.54 × 364.06
  4. Step 4: Simplify right side
    1,459.70x = 797,118.85
  5. Step 5: Solve for x
    x = 797,118.85/1,459.70
  6. Step 6: Final answer
    x = 546.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.